{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Objective of this notebook: figure out how to normalize the features so that they don't explode the gradients on neural networks."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import os"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "all_features = [\n",
    "    np.load(os.path.join('../data/interim/X', basename))\n",
    "    for basename in os.listdir('../data/interim/X')\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "concatenated = np.concatenate(all_features)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "feature_groups = {\n",
    "    \"mean\": concatenated[:, 0:18].ravel(),\n",
    "    \"variance\": concatenated[:, 18:36].ravel(),\n",
    "    \"skewness\": concatenated[:, 36:54].ravel(),\n",
    "    \"kurtosis\": concatenated[:, 54:72].ravel(),\n",
    "    \"stdev\": concatenated[:, 72:90].ravel(),\n",
    "    \"zerocross\": concatenated[:, 90:108].ravel(),\n",
    "    \"peak2peak\": concatenated[:, 108:126].ravel(),\n",
    "    \"totalarea\": concatenated[:, 126:144].ravel(),\n",
    "    \"sigenergy\": concatenated[:, 144:162].ravel(),\n",
    "    \"energypct\": concatenated[:, 162:270].ravel(),\n",
    "    \"avgdwtcoef\": concatenated[:, 270:396].ravel(),\n",
    "    \"crosscorr\": concatenated[:, 396:549].ravel(),\n",
    "    \"decorrcoef\": concatenated[:, 549:567].ravel(),\n",
    "    \"clustcoef\": concatenated[:, 567:585].ravel(),\n",
    "    \"localeff\": concatenated[:, 585:603].ravel(),\n",
    "    \"between\": concatenated[:, 603:621].ravel(),\n",
    "    \"eccentricity\": concatenated[:, 621:639].ravel(),\n",
    "    \"globaleff\": concatenated[:, 639],\n",
    "    \"globaldiam\": concatenated[:, 640],\n",
    "    \"globalrad\": concatenated[:, 641],\n",
    "    \"globalcharpath\": concatenated[:, 642]\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib64/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ZyuFulkHDtWU8W8Zy5nA3y6Dhx+wVvPyA5cvhbpZBvQ/IBq/nbvlzuJtl0PjDOlyWsXw53M0yKJeDvqJny1j3cbibZdBw5O6bmCxnDnezDJrV3H0Tk+XJ4W6WwUyj2TKCsssyliOHu1mbKpUggvp3qPozVC1nDnezNpXSsku99dyLvkPVcuZwN2tT9SalhneoOt0tRw53szaVKhUAr+duXcnhbtam6si92VTIcMBbThzuZm2q1tyLdW9iSr66MmN5cbibtalUbjJyV7KvWroxW2oOd7M2VYO70U1MgFeGtNw43M3a1LTmnu4qOdwtJw53szaVmk2FTPeVyw53y4fD3axN1ZF7f4NVIcFLEFh+HO5mbapeUHXN3bqRw92sTa65WzdzuJu1qelsGdfcLWcOd7M2zS4cVm9VSM9zt5w53M3a1Lzmnnx1zd3y4nA3a1O5yZK/cyN3h7vlw+Fu1qZmq0JWR/MnSi7LWD4c7mZtKjepuZ8x2AfAwcnpJW2TWVVL4S7pckk7Je2SdGOd4++VtF3So5Lul3RB55tq1l2a3aE6uqIfgL1Hji9pm8yqFgx3SUXgduAKYDNwraTN8077NrAlIi4F/ga4tdMNNes2zWruKwf7KBbE04cd7paPVkburwR2RcTuiDgB3AVcXXtCRHwlIo6lmw8C53W2mWbdZ6bcfFXIkeF+9h6eWupmmQGthfsG4Kma7bF0XyPvBj5f74Ck6yRtk7Tt4MGDrbfSrAs1u0MVSMPdI3fLRyvhXu87t+78Lkm/AmwBbqt3PCLuiIgtEbFl7dq1rbfSrAs1q7kDjDrcLUethPsYsLFm+zxg7/yTJL0JuAm4KiI8RcB6XrNVISG5qLp/Ymq2fGO2lFoJ94eBTZIukjQAXANsrT1B0suAPyMJ9gOdb6ZZ91l45D5AJWD/hOvutvQWDPeIKAHXA/cBO4C7I+IxSbdIuio97TbgDOAzkr4jaWuDlzPrGeVy45uYAEbS6ZDjRxzutvT6WjkpIu4F7p237+aax2/qcLvMul4rNXfAdXfLhe9QNWtTs1UhYW7k7rnulgeHu1mbyguM3Af7ioyu8IwZy4fD3axN0zNlpMY1d4D1I8O+kcly4XA3a9OByWnWnDE4+6lL9awfHfbI3XLhcDdr0/iRKdaNDDU9Z8PokGvulguHu1mb9rUQ7utHh5mcKjExNbNErTJLONzN2jR+5DjrRoabnrN+NDk+7rq7LTGHu1kbjk6XmJgqcW4LI3fwXHdbeg53szZU7zpduOaehLvr7rbUHO5mbdiXhvu5ZzYP97WrBukryCN3W3IOd7M2jKcfn7dQzb1YEOeODDncbck53M3aUB25n33m4ILnJnPdfUHVlpbD3awN4xNTvGDlAEP9xQXP3TA67Jq7LbmWVoU0s8SdD+0B4JEnnmWwrzC73cy6kSH2TUxRrkTDdWjMOs0jd7M2TEzNcGa6pO9C1o8OU64EByZdmrGl43A3a8OR4zOMtBjuGzzX3XLgcDdbpJlyhWMnyi2H+/rZue4eudvScc3dbJEmjifrxLQS7nc+tIepmTIA9z46znNTJQB++VXnn74GmuGRu9miHU7DvdWa+1B/kaH+AoePnzidzTI7icPdbJEWM3KvGh0e4MgxrwxpS8fhbrZIR6oj96HWw31kuH92xG+2FBzuZot05PgMw/1FBvpa//EZXdHPYY/cbQk53M0WaWIR0yCrRof7OT5TZrpUPk2tMjuZw91skY5MLT7cR1YMJM/16N2WiMPdbBEigmePzjCyYvEjd8B1d1syDnezRZiYKnF8psw5qxZeDbLWaPrLwCN3WyoOd7NF2D+R3GV6zgKfwDTfqqF+BJ7rbkvG4W62CNVwP3fV4sK9WBBnDnvGjC0dh7vZIuw7MsWqoT5WDC5+5Y5Rz3W3JeRwN1uE/ZNTC35uaiMjK/p55rlp7v/Bfn7t//wTO8YnOtw6szkOd7MWlSvBgYlpzmkz3FevHGByqsSXdxzg6z98hk9884nONtCshleFNGvRE4eOUqpE2+H+2ovXsPGsFZy/egXbxyf4wmP7+P23vZT+osdY1nn+rjJr0c59kwBtl2VWDPbxknVnsnKwj3/9L9Zx5PgM39j1TCebaDbL4W7Wop37JhGwdpFz3Ot53YvXsGqoj3u+O569YWZ1ONzNWrRz3ySrVw4sasGwRgb7ivzc5nP54vZ9Xm/GTgvX3M1atHP/JOcu8ualRu58aA9nDPYxOVXiln/YTl+hwNOHj/HhX345Q/3FjryHPb853M2a+OuH9/Do2BF+cctGnjh0lJ+95OyOvfbFZ69kuL/InQ/tIdJ9t923k//21s0dew97/nK4mzXw4O5DvP9vv0cl4FMP7QFoe6ZMPX2FAm98ydk88cxRfnLjKD888Bwf/+aPePPmc3j1C19ARFCqhGfTWFtaCndJlwN/AhSBj0XEh+YdHwT+Avhp4BDwjoh4orNNNTu9xp49xvfGjjB+ZIpSJfjwl3/I6pUDvOs1F/Ho2BF2H3yOi9es7Oh7/szFa/iZi9cAsOnsVeyfmOI/f+a7/PrrX8hfPbiH/ZNTfPjal/PaTWs6+r7W+xQRzU+QisA/A28GxoCHgWsjYnvNOb8BXBoR/17SNcDbIuIdzV53y5YtsW3btqztNyMiqASUKhXKlXS0Wygw1J+MeCeOlzh0dJqVg328YOUAR6fLfGfsMLsOPMfGs4Z50dln8LlvP82fPbCbE6UK/UWxaqifieMz/IfLLmbdyPCS9eXJQ0e544HdBLB+ZIhSJTg4Oc3vXn4JQnz+++NI4tpXbOTKS9ex59Axtu+d4Mzhfi49b4SzVw2yf3KaAxNTnLVigHWjQ/QVChw+doKj02VGhvs5c7iPCJicLjFTrnDmUD8DfQUqleDYTHJxd0V/kUJBVCrBdKlCsaDZC8kRwYlyhf5CgUJBs/vKlaBYENLcvtp4SXfPHrf2SHokIrYseF4L4f4vgQ9ExFvS7fcDRMQf1pxzX3rOtyT1AfuAtdHkxdsN9499fTe33rfz5Dae1N557a852ux7an5Lg2h6vJl67yPqv3kr3+eN3nt+G5ud28p7z2/jYn8GF/PeC2nlvcuVmA3zRq9RlE46LjVu50+eN8LLzz+L7eMTbB+f4Oc2n8NPX7C6neZn8s/7JxnsK3D+6hWcKFX4zCNjbE+XKth41jAz5WBfuoDZfPP7JyU/H7V/RX0FUZ4XvAPFAifKlZOeN1AsMF2qnPS8YkEn7asG/ol0X0HJvkrATLnS8O9agoJEQUnYi2RbgkratmDuF0QlfaHac0n7Vn1e8py55xKn/ozMfo9rLjdmf+mgU77vqu2vvk5tfxp9u89/3dr3re77vZ/fzDtecX6DV2iu1XBvpSyzAXiqZnsMeFWjcyKiJOkI8ALgpDs0JF0HXJduPifp5JSGNfOf08Pc1y7zJLC1Zvv77b3Mae3rk6frhduzLP5dO6Sjfb3mg3BN+0+/oJWTWgn3emOo+b+0WjmHiLgDuKPhG0nbWvmN1Avc197kvvam5djXVi7DjwEba7bPA/Y2Oicty4wAP+5EA83MbPFaCfeHgU2SLpI0QPK/ia3zztkKvDN9/Hbgy83q7WZmdnotWJZJa+jXA/eRTIX8eEQ8JukWYFtEbAX+HPhLSbtIRuztlpMalmx6kPvam9zX3rTs+rrgbBkzM1t+fOubmVkPcribmfWg3MNd0gclPSrpO5K+KGl9ul+S/lTSrvT4y/Nua1aSbpP0g7Q/n5M0WnPs/Wlfd0p6S57t7ARJvyjpMUkVSVvmHeupvkKyREfan12Sbsy7PZ0m6eOSDkj6fs2+1ZL+UdIP069n5dnGTpG0UdJXJO1Iv4f/U7p/WfU393AHbouISyPip4B7gJvT/VcAm9I/1wH/K6f2ddI/Ai+NiEtJlnR4P4CkzSQXoX8CuBz4SLrsw3L2feDfAA/U7uzFvqbtv53ke3YzcG3az17yCZJ/r1o3AvdHxCbg/nS7F5SAGyLiJcCrgf+Y/nsuq/7mHu4RUfsR8CuZu/npauAvIvEgMCpp3ZI3sIMi4osRUUo3HyS5ZwCSvt4VEdMR8SNgF/DKPNrYKRGxIyLm34EMPdhXkvbviojdEXECuIuknz0jIh7g1HtXrgY+mT7+JPALS9qo0yQixiPi/6WPJ4EdJHfhL6v+5h7uAJL+QNJTwL9lbuReb9mDDUvdttPo3wGfTx/3el9r9WJfe7FPrTgnIsYhCUSgc4vddwlJFwIvAx5imfV3SdZzl/Ql4Nw6h26KiL+PiJuAm9JFya4Hfo8WlzToNgv1NT3nJpL/+n2q+rQ65/dEX+s9rc6+ru/rAnqxT897ks4APgv8dkRMLLfVLJck3CPiTS2eeifwf0nCvZVlD7rOQn2V9E7grcAba+7i7cm+NrAs+7qAXuxTK/ZLWhcR42nJ9EDeDeoUSf0kwf6piPjbdPey6m/uZRlJm2o2rwJ+kD7eCvxqOmvm1cCR6n+Jlqv0Q0/eB1wVEcdqDm0FrpE0KOkikovI/5RHG5dAL/a1lSU6elHtsiPvBBr9b21ZUTJE/3NgR0T8Uc2h5dXfZL3k/P6Q/Hb8PvAo8A/AhnS/SGYgPA58D9iSd1s70NddJLXZ76R/Plpz7Ka0rzuBK/Juawf6+jaSEe00sB+4r1f7mvbpSpIZUI+TlKVyb1OH+/dpYByYSf9d302yrPf9wA/Tr6vzbmeH+vpakrLaozU/q1cut/56+QEzsx6Ue1nGzMw6z+FuZtaDHO5mZj3I4W5m1oMc7mZmPcjhbmbWgxzuZmY96P8DJiKIGf5iFDoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for (name, array) in feature_groups.items():\n",
    "    plt.title(name)\n",
    "    sns.distplot(array)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "sums = np.array([np.sum(features) for features in concatenated])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib64/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "image/png": 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8iSv/4icc6C9Wxtzzw/8XCvkcyxfOZv2WPbyx8+A4VpnNXz68iUODJfYeKtK3tx+Arz78cpurMrMUTLhwv+Z9J3N4sMzjm3dULo7dlT9m/984u4ecxMfueoJtew6PU5XZbN1zCICFc6ZyytxpAGzZfaidJZlZIiZcuJ950iyuXL6Ax1/ZwcGB4pCLYzc6afZUPn3ZMnYdGORjdz3RUeG5dc9h8hInzZ7CjCkF5k7r4s0Oqs/MWmdwnC8elCncJa2UtFHSJkm3Nrl/iqTvVO9/UtKyVhda7zOXn8GhwRKHB4895l6zeN50/vrTH2TbnsNc8ec/4Zs/eeXI2a3jbd/hQV7bUTn2fuueQ5w0e8qRk7BOmTuNLbsPcXiwxKO/6HPQm01Qhwffmdeqv1jis/c9zQe+9GMe2/T2uNUw4hmqkvLAHcBvAr3AWkmrI2JDXbebgV0RcaakG4EvAx8di4IBLlo6j9Pmz+DVtw9kCneAl9/azx9cfiZ//9wW/uQHL/GVhzYyvTvPqSfO4IpzF/CvLjyFaV15nuvdQ9/+fk6fP4PTembw1p5+Xty2l1I5eM/Js5g3vZs1z29lzfNb6Zk1hZsuXsqFS+fy01+8zRObd3D2gll85NyTKJWDv3tmC0+/sYvLzpzPNect5JGN2/nqP7zMroODXPXeBfTuOsQ5J886UuMpc6exYetePvClH3NgoMSUQo7fv/wMblixhH/e9DY/e3Un55w8iyvOXcC86d2s37qHLbsPc0bPDM45eTYDpTKv7TjA/v4ip544g4Wzp9JfLNO3rx8J5s+cwrTuPIcGSuw6OMCUQo4507rI58ThwTL7+4tM784fmXjt8GCZ/mKJ6d0Fugs5yuXgwECRUjmYOaVAIV9pOzRYQoJpXXkkERH0F8sUcqJQ/WQV1YuZd+WF6s4Yjoghy8BRbeVyIB3dVioHuYa2iaRcd3hu4/9tvDTb1s00bv9mr2VEUA7I545+3coRQ34HJOiqa2v8XSmVg/5iiSmFPPlc5fdpoFRmoFhmeneBfE6Uy8HBwRKlUjBjSp5CPsdgqcy+w0VygllTu8ipMnng7kODTOvKM2da5QptOw70s+fgIHOmd3HijCkMlsps2X2IfYeLnDxnKj0zp7Dz4ACvbN/PYCk4vWcGPbOm8PJb+3n+zd1M6y7w/sVzmTW1wMMvbeexV3Zwes8Mrly+gLf3D/C1h1/msVd28OFzTuLmXzuNrz38Mk9s3snCOVP55F//jD+74QKue/+iFr6Szan2Ag/bQfoV4IsRcVV1+fMAEfEndX0eqvZ5XFIB2Ab0xDFWvmLFili3bt1xF/7F1eu557FfcvV5J/MvzuoZ1WM3btvHK337OTRQIp8Ta1/byQibYYilJ0xn98EB9tbNXzNrauGo+WxygtN7ZrJp+zuHYl525olctHQed//TqxwYKHHN+xbya2fOByrj7fevfZ1lJ1bC+tne3Txfd+z77KmFo56vnsSQ/0M+pyHH+HflxWDp2G21N2j9Y7vzOQbL5aOeY0ohx0DpnTap0q+/7lNRV17kpKPaaieeDZbKlIPqG1uUo9IWUXlcIVd5wxardXTlRT5XqbVWW3chRyEnyhFEVLZBUAmaci28gJx0JKDql6Par/FxEdXQrfbNVRdyqizX96f2GIY+Z/3jhAjiqPqbvY65hhpV95y156mFae1feKe22v+ztky1rvr+tf9jTa1v7fG1x9Vv/+5CDsFRr3lt56r2STgnqjsC70zsl8+JrrwYKJaP1Fpr6y++s67aH4v6T9Xd+RzliCM1NPu9q9XR+Gm88fe69nqWG/7fjS9Fs7Zm76+aOdO6jrqk5/yZU7jqvQv4++e3svvgIF158ZXrL+BD55zEqm+t48lXd/Ll334fH/3g8U1DLumpiFgxYr8M4X49sDIifre6/Angkoi4pa7PC9U+vdXlV6p93m5Y1ypgVXXxPcDG7P+lIeYD4/cZZ3Q6tbZOrQs6t7ZOrQs6t7ZOrQs6t7bR1HVqRIy4R5tl4rBmn9ka/yJk6UNE3AncmeE5Ry5KWpflr1c7dGptnVoXdG5tnVoXdG5tnVoXdG5tY1FXlgHrXmBJ3fJiYMtwfarDMnOAna0o0MzMRi9LuK8FzpJ0mqRu4EZgdUOf1cAnq7evBx4+1ni7mZmNrRGHZSKiKOkW4CEgD9wdEesl3Q6si4jVwP8Evi1pE5U99hvHsuiqlgzvjJFOra1T64LOra1T64LOra1T64LOra3ldY34haqZmU08E+4MVTMzG5nD3cwsQR0f7p029cEo6vqUpD5Jz1R/fnec6rpb0vbquQfN7pekr1brfk7SReNRV8baLpe0p26b3TZOdS2R9IikFyWtl/Tvm/QZ9+2Wsa52bbOpkn4m6dlqbf+tSZ9xf29mrKst7826589LelrSg03ua902i4iO/aHyBe4rwOlAN/AssLyhzx8A36jevhH4TofU9SngL9uwzX4duAh4YZj7rwF+QOXchEuBJzuotsuBB9uwzRYCF1VvzwJ+0eT1HPftlrGudm0zATOrt7uAJ4FLG/q0472Zpa62vDfrnv9zwL3NXrdWbrNO33O/GNgUEZsjYgC4H7iuoc91wN9Ub38P+IjGfqKOLHW1RUQ8yrHPMbgO+FZUPAHMlbSwQ2pri4jYGhE/r97eB7wINE7+Me7bLWNdbVHdDrV5NbqqP41HZ4z7ezNjXW0jaTHwW8Bdw3Rp2Tbr9HBfBLxRt9zL0F/uI30iogjsAU7sgLoAfrv6Ef57kpY0ub8dstbeLr9S/Uj9A0nvHe8nr34MvpDKHl+9tm63Y9QFbdpm1eGFZ4DtwI8jYthtNo7vzSx1Qfvem38B/CdguGlpW7bNOj3cWzb1QYtlec7/CyyLiPOB/8c7f43brR3bK6ufU5k34wLga8D3x/PJJc0E/jfwHyKi8YK2bdtuI9TVtm0WEaWIeD+Vs9YvlnReQ5e2bLMMdbXlvSnpXwLbI+KpY3Vr0nZc26zTw71Tpz4Ysa6I2BER/dXF/wF8YIxryirLNm2LiNhb+0gdEWuALknzx+O5JXVRCdD/FRH/p0mXtmy3kepq5zarq2E38I/Ayoa72jotyXB1tfG9eRlwraRfUhnK/bCkv23o07Jt1unh3qlTH4xYV8N47LVUxks7wWrgd6pHf1wK7ImIre0uCkDSybXxRUkXU/n93DEOzysqZ1m/GBF/Pky3cd9uWepq4zbrkTS3ensacAXwUkO3cX9vZqmrXe/NiPh8RCyOiGVUMuPhiPh4Q7eWbbMss0K2TXTo1AcZ6/qspGuBYrWuT411XQCS7qNyBMV8Sb3AF6h8qUREfANYQ+XIj03AQeDT41FXxtquB35fUhE4BNw4Dn+oobJH9Qng+epYLcB/BpbW1daO7ZalrnZts4XA36hyMZ8c8EBEPNju92bGutry3hzOWG0zTz9gZpagTh+WMTOz4+BwNzNLkMPdzCxBDnczswQ53M3MWkgjTJDX0PfXJf1cUlHS9Q33fVLSy9WfTw63juE43M3MWusehp7QNZzXqRyKeW99o6QTqBwqfAmVuay+IGneaIpwuJuZtVCzCfIknSHph5KekvRTSedU+/4yIp5j6FwzV1GZF2dnROwCfkz2PxhAh5/EZGaWiDuBz0TEy5IuAb4OfPgY/d/1RHUOdzOzMVSd+O1Xge/Wzd47ZaSHNWkb1RmnDnczs7GVA3ZXZ6rMqpfKVB01i6lMgjaqJzUzszFSnab5VUk3wJFLNl4wwsMeAq6UNK/6ReqV1bbMHO5mZi1UnSDvceA9knol3Qz8W+BmSc8C66leuU3SB6uT6N0AfFPSeoCI2Al8icoMtGuB26tt2evwxGFmZunxnruZWYIc7mZmCXK4m5klyOFuZpYgh7uZWYIc7mZmCXK4m5kl6P8D5oTiAfuvILkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(sums)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fb987dd6940>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(np.log(sums))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import scipy.stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'mean': NormaltestResult(statistic=381737.1167835812, pvalue=0.0),\n",
       " 'variance': NormaltestResult(statistic=2363522.632153112, pvalue=0.0),\n",
       " 'skewness': NormaltestResult(statistic=423923.7798367973, pvalue=0.0),\n",
       " 'kurtosis': NormaltestResult(statistic=3001618.6157204844, pvalue=0.0),\n",
       " 'stdev': NormaltestResult(statistic=968596.3655442013, pvalue=0.0),\n",
       " 'zerocross': NormaltestResult(statistic=525295.699419779, pvalue=0.0),\n",
       " 'peak2peak': NormaltestResult(statistic=820001.0665394594, pvalue=0.0),\n",
       " 'totalarea': NormaltestResult(statistic=1067493.2623619493, pvalue=0.0),\n",
       " 'sigenergy': NormaltestResult(statistic=2362754.0588320135, pvalue=0.0),\n",
       " 'energypct': NormaltestResult(statistic=1884453.8305497074, pvalue=0.0),\n",
       " 'avgdwtcoef': NormaltestResult(statistic=3543177.6743450062, pvalue=0.0),\n",
       " 'crosscorr': NormaltestResult(statistic=24564327.643044017, pvalue=0.0),\n",
       " 'decorrcoef': NormaltestResult(statistic=1570713.6727521317, pvalue=0.0),\n",
       " 'clustcoef': NormaltestResult(statistic=112144.68340736881, pvalue=0.0),\n",
       " 'localeff': NormaltestResult(statistic=1562088.8968855706, pvalue=0.0),\n",
       " 'between': NormaltestResult(statistic=400812.5302000939, pvalue=0.0),\n",
       " 'eccentricity': NormaltestResult(statistic=1709089.415608245, pvalue=0.0),\n",
       " 'globaleff': NormaltestResult(statistic=79525.15895705746, pvalue=0.0),\n",
       " 'globaldiam': NormaltestResult(statistic=93861.0938710389, pvalue=0.0),\n",
       " 'globalrad': NormaltestResult(statistic=93109.88531130968, pvalue=0.0),\n",
       " 'globalcharpath': NormaltestResult(statistic=90310.60788671639, pvalue=0.0)}"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hownormal = {k: scipy.stats.normaltest(v) for (k, v) in feature_groups.items()}\n",
    "hownormal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-15.544871794871796, 15.993589743589746)"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "means = feature_groups['mean']\n",
    "normalized_means = (means - means.mean()) / means.std()\n",
    "trimmed_means = means[np.logical_and(normalized_means > -3, normalized_means < 3)]\n",
    "trimmed_means.min(), trimmed_means.max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "def clip_outliers(xs):\n",
    "    normalized = (xs - xs.mean()) / xs.std()\n",
    "    trimmed = xs[np.logical_and(normalized > -3, normalized < 3)]\n",
    "    return trimmed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib64/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(clip_outliers(feature_groups['mean']), fit=scipy.stats.norm)\n",
    "plt.savefig('means.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib64/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for (name, array) in feature_groups.items():\n",
    "    plt.title(name)\n",
    "    sns.distplot(clip_outliers(array), fit=scipy.stats.norm)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(17268.668853764506, 'globaleff'),\n",
       " (19610.699331264612, 'globalcharpath'),\n",
       " (20218.55470067322, 'globalrad'),\n",
       " (20381.67756679766, 'globaldiam'),\n",
       " (24351.90858930372, 'clustcoef'),\n",
       " (82893.16167838327, 'mean'),\n",
       " (87035.33507179063, 'between'),\n",
       " (92053.87916534503, 'skewness'),\n",
       " (114066.5118127596, 'zerocross'),\n",
       " (178060.9691764342, 'peak2peak'),\n",
       " (210328.02837369582, 'stdev'),\n",
       " (231803.21665634742, 'totalarea'),\n",
       " (339203.2940798705, 'localeff'),\n",
       " (341076.1403631204, 'decorrcoef'),\n",
       " (371124.0511389571, 'eccentricity'),\n",
       " (409203.9500045917, 'energypct'),\n",
       " (513065.5249226273, 'sigenergy'),\n",
       " (513232.4184987729, 'variance'),\n",
       " (651793.2007927418, 'kurtosis'),\n",
       " (769391.2561854166, 'avgdwtcoef'),\n",
       " (5334075.973518765, 'crosscorr')]"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# The formula in there is based on the cdf for the chi-squared distribution\n",
    "# These are the negative base-ten logarithms of the p-values on normality\n",
    "sorted([(result.statistic/2 * np.log10(np.exp(1)), name) for (name, result) in hownormal.items()])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Me a few minutes ago: Hopefully my stats are normally distributed.\n",
    "\n",
    "Me now: \"the cross-correlations are not normally distributed (p < 10^-5000000)\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You know what, screw it. I'm just going to pretend that this normalization is sufficient and call it a day."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(643,)"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "concatenated.mean(axis=0)\n",
    "concatenated.std(axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [],
   "source": [
    "no_variation = set((concatenated.std(axis=0) == 0).nonzero()[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [],
   "source": [
    "all_energy_percentage = set(np.arange(162, 270))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "set()"
      ]
     },
     "execution_count": 92,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "no_variation - all_energy_percentage"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[192,\n",
       " 162,\n",
       " 258,\n",
       " 228,\n",
       " 198,\n",
       " 168,\n",
       " 264,\n",
       " 234,\n",
       " 204,\n",
       " 174,\n",
       " 240,\n",
       " 210,\n",
       " 180,\n",
       " 246,\n",
       " 216,\n",
       " 186,\n",
       " 252,\n",
       " 222]"
      ]
     },
     "execution_count": 102,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "energy_pct_with_variation = list(all_energy_percentage - no_variation)\n",
    "energy_pct_with_variation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.98661857, 0.98282635, 0.9885906 , ..., 0.98926078, 0.98737696,\n",
       "        0.99396104],\n",
       "       [0.99456367, 0.99391786, 0.99714786, ..., 0.99348162, 0.98940124,\n",
       "        0.99670221],\n",
       "       [0.99427292, 0.99427709, 0.991005  , ..., 0.99728547, 0.99321887,\n",
       "        0.99589678],\n",
       "       ...,\n",
       "       [0.98639018, 0.98864689, 0.99199216, ..., 0.98817506, 0.99750313,\n",
       "        0.97620123],\n",
       "       [0.99504751, 0.98552148, 0.98784263, ..., 0.98754402, 0.99335753,\n",
       "        0.99646345],\n",
       "       [0.9960819 , 0.99353689, 0.99405132, ..., 0.98605884, 0.9953313 ,\n",
       "        0.99643041]])"
      ]
     },
     "execution_count": 103,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "concatenated[:, energy_pct_with_variation]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Turns out I did the energies wrong. Look in the next notebook for the fix."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib64/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fb8da516a90>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(np.log(feature_groups['crosscorr']), fit=scipy.stats.norm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fb8d9f8fef0>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(feature_groups['skewness'], fit=scipy.stats.laplace)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\u001b[0;31mSignature:\u001b[0m\n",
       "\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mquantile\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\u001b[0m\n",
       "\u001b[0;34m\u001b[0m    \u001b[0;34m[\u001b[0m\u001b[0;34m'a'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'q'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'axis=None'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'out=None'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'overwrite_input=False'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"interpolation='linear'\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'keepdims=False'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n",
       "\u001b[0;34m\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
       "\u001b[0;31mDocstring:\u001b[0m\n",
       "Compute the q-th quantile of the data along the specified axis.\n",
       "..versionadded:: 1.15.0\n",
       "\n",
       "Parameters\n",
       "----------\n",
       "a : array_like\n",
       "    Input array or object that can be converted to an array.\n",
       "q : array_like of float\n",
       "    Quantile or sequence of quantiles to compute, which must be between\n",
       "    0 and 1 inclusive.\n",
       "axis : {int, tuple of int, None}, optional\n",
       "    Axis or axes along which the quantiles are computed. The\n",
       "    default is to compute the quantile(s) along a flattened\n",
       "    version of the array.\n",
       "out : ndarray, optional\n",
       "    Alternative output array in which to place the result. It must\n",
       "    have the same shape and buffer length as the expected output,\n",
       "    but the type (of the output) will be cast if necessary.\n",
       "overwrite_input : bool, optional\n",
       "    If True, then allow the input array `a` to be modified by intermediate\n",
       "    calculations, to save memory. In this case, the contents of the input\n",
       "    `a` after this function completes is undefined.\n",
       "interpolation : {'linear', 'lower', 'higher', 'midpoint', 'nearest'}\n",
       "    This optional parameter specifies the interpolation method to\n",
       "    use when the desired quantile lies between two data points\n",
       "    ``i < j``:\n",
       "\n",
       "        * linear: ``i + (j - i) * fraction``, where ``fraction``\n",
       "          is the fractional part of the index surrounded by ``i``\n",
       "          and ``j``.\n",
       "        * lower: ``i``.\n",
       "        * higher: ``j``.\n",
       "        * nearest: ``i`` or ``j``, whichever is nearest.\n",
       "        * midpoint: ``(i + j) / 2``.\n",
       "keepdims : bool, optional\n",
       "    If this is set to True, the axes which are reduced are left in\n",
       "    the result as dimensions with size one. With this option, the\n",
       "    result will broadcast correctly against the original array `a`.\n",
       "\n",
       "Returns\n",
       "-------\n",
       "quantile : scalar or ndarray\n",
       "    If `q` is a single quantile and `axis=None`, then the result\n",
       "    is a scalar. If multiple quantiles are given, first axis of\n",
       "    the result corresponds to the quantiles. The other axes are\n",
       "    the axes that remain after the reduction of `a`. If the input\n",
       "    contains integers or floats smaller than ``float64``, the output\n",
       "    data-type is ``float64``. Otherwise, the output data-type is the\n",
       "    same as that of the input. If `out` is specified, that array is\n",
       "    returned instead.\n",
       "\n",
       "See Also\n",
       "--------\n",
       "mean\n",
       "percentile : equivalent to quantile, but with q in the range [0, 100].\n",
       "median : equivalent to ``quantile(..., 0.5)``\n",
       "nanquantile\n",
       "\n",
       "Notes\n",
       "-----\n",
       "Given a vector ``V`` of length ``N``, the q-th quantile of\n",
       "``V`` is the value ``q`` of the way from the minimum to the\n",
       "maximum in a sorted copy of ``V``. The values and distances of\n",
       "the two nearest neighbors as well as the `interpolation` parameter\n",
       "will determine the quantile if the normalized ranking does not\n",
       "match the location of ``q`` exactly. This function is the same as\n",
       "the median if ``q=0.5``, the same as the minimum if ``q=0.0`` and the\n",
       "same as the maximum if ``q=1.0``.\n",
       "\n",
       "Examples\n",
       "--------\n",
       ">>> a = np.array([[10, 7, 4], [3, 2, 1]])\n",
       ">>> a\n",
       "array([[10,  7,  4],\n",
       "       [ 3,  2,  1]])\n",
       ">>> np.quantile(a, 0.5)\n",
       "3.5\n",
       ">>> np.quantile(a, 0.5, axis=0)\n",
       "array([[ 6.5,  4.5,  2.5]])\n",
       ">>> np.quantile(a, 0.5, axis=1)\n",
       "array([ 7.,  2.])\n",
       ">>> np.quantile(a, 0.5, axis=1, keepdims=True)\n",
       "array([[ 7.],\n",
       "       [ 2.]])\n",
       ">>> m = np.quantile(a, 0.5, axis=0)\n",
       ">>> out = np.zeros_like(m)\n",
       ">>> np.quantile(a, 0.5, axis=0, out=out)\n",
       "array([[ 6.5,  4.5,  2.5]])\n",
       ">>> m\n",
       "array([[ 6.5,  4.5,  2.5]])\n",
       ">>> b = a.copy()\n",
       ">>> np.quantile(b, 0.5, axis=1, overwrite_input=True)\n",
       "array([ 7.,  2.])\n",
       ">>> assert not np.all(a == b)\n",
       "\u001b[0;31mFile:\u001b[0m      ~/.local/lib/python3.7/site-packages/numpy/lib/function_base.py\n",
       "\u001b[0;31mType:\u001b[0m      function\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.quantile?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.distributions.empirical_distribution import ECDF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "xs = feature_groups['skewness']\n",
    "normed = scipy.stats.norm.ppf(ECDF(xs)(0.999999 * xs))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib64/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fb8d959f6a0>"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(normed)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "all_normalized_features = np.concatenate([\n",
    "    np.load(os.path.join('../data/processed/train/X', basename))\n",
    "    for basename in os.listdir('../data/processed/train/X')\n",
    "])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fb8d93b3e48>"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(all_normalized_features[:, 91])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Okay, so after doing the transformation it appears that there are still issues with some of them blowing up to infinity. Specifically, it happened to these categories:\n",
    "\n",
    "* Area\n",
    "* Total energy\n",
    "* Energy percentages\n",
    "* Cross-correlations\n",
    "* Clustering coefficients\n",
    "* Eccentricities\n",
    "* Global diameters\n",
    "* Global radii\n",
    "* Global characteristic paths\n",
    "\n",
    "I'm going to try to debug the problem using the global diameters, since that doesn't have any weird aggregation effects. Hopefully the solution will transfer."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib64/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fb8d91e33c8>"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(feature_groups['globaldiam'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [],
   "source": [
    "feature_groups['globaldiam'].sort()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([   48.85197559,    48.85197559,    48.85197559,   180.14166   ,\n",
       "         4875.73248892,  5267.15894335,  8444.75096197,  8930.75178789,\n",
       "        10026.94432145, 10584.84914895]),\n",
       " array([41635698.27583893, 43026190.26210529, 43563036.98754102,\n",
       "        43732572.42564787, 45070469.64984547, 46527117.01962399,\n",
       "        54881637.33311865, 58678590.4797685 , 64494238.7193054 ,\n",
       "        67846678.98103796]))"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "feature_groups['globaldiam'][:10], feature_groups['globaldiam'][-10:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fb8d8f6f438>"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(np.log(feature_groups['globaldiam']), fit=scipy.stats.norm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "ecdf_globaldiam = ECDF(feature_groups['globaldiam'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [],
   "source": [
    "xs = feature_groups['globaldiam']\n",
    "xs_new = xs + 0.000001 * np.sign(np.median(xs) - xs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-3.9408057158542875"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scipy.stats.norm.ppf(ecdf_globaldiam(xs_new.min()))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Okay, so I think I see the problem. I need to nudge everything a bit closer to the middle, not just down a little bit. If the values are on both sides of 0, just multiplication accomplishes that effect."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That solution addresses all those problems, but then goes on to create new ones. Round 2:\n",
    "- Skewness\n",
    "- Kurtosis\n",
    "- DWT\n",
    "- Betweenness centrality"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib64/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fb8da094898>"
      ]
     },
     "execution_count": 83,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xs = feature_groups['avgdwtcoef']\n",
    "xs_new = xs + 0.000001 * np.sign(np.median(xs) - xs)\n",
    "sns.distplot(xs)\n",
    "sns.distplot(xs_new)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1.0741849299588459e-07, 0.999999892581507)"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ecdf = ECDF(xs)\n",
    "ecdf(xs_new.min()), ecdf(xs_new.max())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib64/python3.7/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fb8d777e5f8>"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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dczdpiW6uKspwupSQudH/reWAdfGYRRDUylkishn4Br7lEp9W1cenPP4p4M/wLYnYAXxEVZv9j00AR/y7tqjqlhDVbmLY9poWAJ4/1k5RZhL/XnvW4YpCY3tNCx6vF7dL+NG+FroHxwF4aFOZw5WZaDFrS19E4oAngXcD64APisi6Kbu9DlSr6nXAT4GvBjw2rKrr/X8s8E3IjIxPcLFvJGInWZuJ2+WiJDvZlk80iyKY7p2NQL2qNqrqGLAD2Bq4g6r+VlUn13rbB5SEtkxj3q6lewglsidZm0l5biptl0YYn/A6XYqJMsGEfjEQ+N251b9tJh8Ffh1wP0lE6kRkn4i8dx41GjOt5q5BXEJET7I2k/KcFCZUae0ZdroUE2WC6dOfbkWKaa8RF5EPAdXAnQGby1S1TURWAL8RkSOq2jDluG3ANoCyMuu7NMFp7hqiKDMpoidZm0lZrq/LqrlrkMq86PsmY5wTTEu/FSgNuF8CtE3dSUTuBh4Ftqjq5bFmqtrm/7sR2AtsmHqsqj6lqtWqWp2fnz+nN2Bi04RXOdszRHlOdAZiSoKb/PREmruGZt/ZmDkIJvRrgSoRqRSRBOBBYFfgDiKyAfgOvsBvD9ieLSKJ/tt5wG3AsVAVb2LX+d5hxieU8tzoOokbqDwnhZbuIbxqk6+Z0Jk19FXVAzwC7AGOAztV9aiIPCYik6NxvgakAT8RkUMiMvmhsBaoE5E3gN8Cj6uqhb5ZsMkWcDSexJ1UnpvK8PiEXaRlQiqocfqquhvYPWXbFwJu3z3Dca8C1y6kQGOm09w9RFZyPJnJ8U6Xsmgmv8W0WBePCSG7ItdEHFWlpWvw8snOaJWbmkBqQhzN3TZe34SOhb6JOK09w/SNeKK6awd8k6+V56bayVwTUhb6JuJMTrIWbVfiTqc8N4WuwTHr1zchY6FvIk5dczeJbhdFmUlOl7LoJj/YbKplEyoW+ibi1DX1UJqTgkumu24wuizPSsbtEptx04SMhb6JKH0j45y82B/V4/MDueNcFGcnU2ctfRMiFvomohxs7kGVqL0SdzrlOam8ea6XkfEJp0sxUcBC30SUA809xLkkKidZm0l5bgrjE8rh1l6nSzFRwELfRJTapm7WLcuIyknWZjJ5MtcWSzehYKFvIsb4hJdDZy9FzSLowUpJdLMyP5UDTdavbxbOQt9EjKNtfYyMe6kuz3G6lCVXXZ7DgZYevF6bfM0sjIW+iRh1Tb7ujVhr6YNvsfRLQ+M0dg44XYqJcBb6JmL4xucnU5gR/RdlTVVd7vugq7MuHrNAFvomIqgqdc093BSDXTsAlXmp5KYm2Hh9s2AW+iYitHQP0Tkwyo0x2LUDvsnXbijPtukYzIJZ6JuIUOvv1ripIjZb+uDr4jnTOUjngE2+ZubPQt9EhAPN3WQkuVmVn+Z0KY6ZPIFtrX2zEEGtnCUim4FvAHHA06r6+JTHPwX8GeABOoCPqGqz/7GHgc/7d/07Vf1+iGo3MWB7TQsAzx9vZ1lmMjtqzzpckTO217TgmfDidgk/eq2ZroExHtpU5nRZJgLN2tIXkTjgSeDdwDrggyKybspurwPVqnod8FPgq/5jc4AvApuAjcAXRSQ2O2XNvA2NeujoH42ZSdZm4o5zUZyVTHO3Lapi5i+Y7p2NQL2qNqrqGLAD2Bq4g6r+VlUnfxL3ASX+2/cBz6lqt6r2AM8Bm0NTuokVkyEX7StlBaM8N4Vzl4YZn/A6XYqJUMGEfjEQ+J261b9tJh8Ffj3PY415m+auIeJEKMmOnUnWZlKem8qEVznXM+x0KSZCBdOnP91KFdNeCy4iHwKqgTvncqyIbAO2AZSVWT+leavmrkGWZyURH2fjDsr8k69ZF4+Zr2B+i1qB0oD7JUDb1J1E5G7gUWCLqo7O5VhVfUpVq1W1Oj8/P9jaTQzwTHg5d2mYCuvaASA10U1eWiLNXYNOl2IiVDChXwtUiUiliCQADwK7AncQkQ3Ad/AFfnvAQ3uAe0Uk238C917/NmOCcu7SMB6vxvxJ3EDluSm0dA+hapOvmbmbNfRV1QM8gi+sjwM7VfWoiDwmIlv8u30NSAN+IiKHRGSX/9hu4Ev4Pjhqgcf824wJSnOXrxujzFr6l5XnpDA0NkFDh7X2zdwFNU5fVXcDu6ds+0LA7buvcOz3gO/Nt0AT25q6BslLSyAtMagf1Zgw2dVV29TNqoLYvVjNzI+dGTNha8KrNHUNUplnrfxAuf4PwZrGLqdLMRHIQt+ErePnfYumWOi/lYhQmZdKzZlu69c3c2ahb8JWzRnf6Z/KPOvCmKoyL5XzvSO02NBNM0cW+iZs7WvsIic1gczkeKdLCTuT335qGm1chJkbC30TlrxeZf+ZblZY1860CtITyU1NYN8Z69c3c2Ohb8LSiQv99A6PW3/+DESETStyrKVv5sxC34SlGn8L1kJ/Zpsqczl3aZiz1q9v5sBC34SlmsZuSnOSyUpJcLqUsHXzilzAd+7DmGBZ6Juw4/UqNWe62FSZ63QpYa2qII3slPjLo5yMCYaFvgk7p9sH6BkaZ1Nl7K6HGwyXS9hYmXO5K8yYYFjom7AzGWKT3RdmZjevyOVs9zDnLtn8+iY4Fvom7Oxr7KI4K5nSHJtZczaTXWA2JYMJloW+CSuqvvH5m1ZY104wripKJzM53k7mmqBZ6Juw0tAxQOfAGDfbSdyg/K5f307mmuBY6Juw8pr/YiNr6QdvU2UOzV1DnO+1fn0zO5uk3ISF7TUtAOysPUtmcjwvn+7klXrrsriSyX+zS0PjAHz9uVOsL83moU22zrSZmbX0TdhQVZo6ffPni4jT5USMoswkkuJdnOm0lbTM7IIKfRHZLCInRaReRD47zeN3iMhBEfGIyANTHpvwL6F4eRlFY6bTOTBG/6iHSlsacU5cIlTkptJoyyeaIMzavSMiccCTwD1AK1ArIrtU9VjAbi3Ah4FPT/MUw6q6PgS1mijX2DkA2Hw781GZl8qJC/30DY87XYoJc8H06W8E6lW1EUBEdgBbgcuhr6pN/se8i1CjiRENHYNkJseTm2bz7czVynzfQjMNHQMOV2LCXTDdO8XA2YD7rf5twUoSkToR2Sci751TdSZmeFVpaB9gZX6a9efPQ1FmEikJcdS3W+ibKwumpT/db+BcFuYsU9U2EVkB/EZEjqhqw1teQGQbsA2grMxGHsSi85dGGB6fYFWBLY04Hy4RVuanUd8xgKraB6eZUTAt/VagNOB+CdAW7Auoapv/70ZgL7Bhmn2eUtVqVa3Oz88P9qlNFKn3d0uszLf+/PlaVZBG/4jHWvvmioIJ/VqgSkQqRSQBeBAIahSOiGSLSKL/dh5wGwHnAoyZVN/eT1FGEulJth7ufK3y9+u/XN/pcCUmnM0a+qrqAR4B9gDHgZ2qelREHhORLQAicpOItAIfAL4jIkf9h68F6kTkDeC3wONTRv0Yw8j4BM1dQ9a1s0DZqQnkpibwioW+uYKgrshV1d3A7inbvhBwuxZft8/U414Frl1gjSbK1TZ14/Hq5REoZv5WFqSxr7Gb8Qkv8XF27aV5O/upMI57ub6TOBEbnx8Cq/LTGBj18MbZS06XYsKUhb5x3MunOynNSSHBbT+OC7UyPw2XwIunrYvHTM9+y4yj2vtHONrWx+pC69oJheSEOK4vzeKFUx1Ol2LClIW+cdQLJ33htLow3eFKosddqws43HqJroFRp0sxYchC3zhq76kO8tMTWZaZ5HQpUeOuNfmowkvWxWOmYaFvHOOZ8PLSqQ7uXJ1vV5CG0LXFmeSmJrD3ZLvTpZgwZKFvHHPo7CX6Rjzctcauwg4ll0u4Y3U+L57uxOudy4wpJhZY6BvH7D3ZgUvg9lUW+qF215p8ugfHOHyu1+lSTJix0DeO2XuqnRvKsslMsakXQu32qnxEsC4e8zYW+sYR7f0jvHmuz7p2FklOagLXl2Sx96QN3TRvZaFvHLH3hC+M7lpT4HAl0eudVxXwRuslOvpt6Kb5naDm3jEmVLbXtADww9eayEqO542zlzjcav3OoTT5bzw+4UUV/n73caorcnhok61VYaylbxww5vFS3zHAVcsybKjmIirKSCIrJZ5j5/ucLsWEEQt9s+QaOgYYn1DWLrOrcBeTiLC2KIP69gHGPLZ8tfGx0DdL7tj5PhLdLptVcwmsXZaBx6u2mpa5zELfLCmvKifO97GmKB23y378FltlXipJ8S6OWxeP8bPfOrOkznYPMTg2wdplGU6XEhPiXMLqwnROXOhjwq7ONQQZ+iKyWUROiki9iHx2msfvEJGDIuIRkQemPPawiJz2/3k4VIWbyHTsfB8ugTU2q+aSWbcsg8GxCQ629DhdigkDs4a+iMQBTwLvBtYBHxSRdVN2awE+DGyfcmwO8EVgE7AR+KKIZC+8bBOJVJWjbX2szE8jKT7O6XJixurCdNwu4ddHLjhdigkDwbT0NwL1qtqoqmPADmBr4A6q2qSqh4GpQwTuA55T1W5V7QGeAzaHoG4Tgd4810f34BjXFmc6XUpMSYqPo6ownd1HztsEbCao0C8Gzgbcb/VvC8ZCjjVR5ldH2nCJr7vBLK1rizO40DdiXTwmqNCf7uqZYJsLQR0rIttEpE5E6jo6bK6QaKSq7D5ynlUFaaQk2oXgS+2qogwS3C6eOXLe6VKMw4IJ/VagNOB+CdAW5PMHdayqPqWq1apanZ9vE3BFoyPnejnbPcw1y61rxwlJ8XHctTrfunhMUKFfC1SJSKWIJAAPAruCfP49wL0iku0/gXuvf5uJMc8cPo/bJaxbbl07Trn/umVc7BvlgHXxxLRZQ19VPcAj+ML6OLBTVY+KyGMisgVARG4SkVbgA8B3ROSo/9hu4Ev4Pjhqgcf820wMUVWeOXKed1TlkZJgXTtOedfaQhLdLp45bF08sSyo30BV3Q3snrLtCwG3a/F13Ux37PeA7y2gRhPhDjT30NozzF/fvdrmgHFQWqKbd15VwK8Ot/Ho/WuJj7NrM2OR/a+bRfezg+dIjo9j8zVFTpcS8953QwmdA2O8dNoGTMQqC32zqEbGJ/jV4TY2X1NEmo3acdydq/PJSU3gZwfPOV2KcYiFvllU/+94O/0jHt5/w7S9f2aJJbhdbLl+Oc8du0jv8LjT5RgHWNPLLIrJ1Zt+8FoTGUlumroGaekecraoGDf5f5KSEMeYx8vf/vIoN1Xailqxxlr6ZtEMjHo4dbGf9aXZuGyFrLBRnJVMfnoiB8/a0M1YZKFvFs2hlh68ChvKspwuxQQQEW4ozaK5a4jOAVs0PdZY6JtFoarsb+qmLCeFwowkp8sxU2woz8YlsP+MXTYTayz0zaJo7Bykc2CMTZU5TpdippGRFM+6ZRkcaO5hZHzC6XLMErLQN4uiprGL5Pg4rrFplMPWphW5DI9PsNsmYYspFvom5Nr7Rjh2vo8by7Ptqs8wtiIvlby0BH7sH9VjYoP9RpqQ+/fas3gVNlrXTlgTETZW5nKguccWTo8hFvompMY8Xn5c08Kq/DTy0hKdLsfM4oayLBLdLr7/apPTpZglYqFvQuo/32jjQt8It63KdboUE4SUBDcP3FjCzw+eo71/xOlyzBKw0Dcho6r880uNrC5MY3VhutPlmCD92e0rGPd6+cGrzU6XYpaAhb4JmRdPd3LiQj9/fvsKxK7AjRiVeanct66IH+5rZnDU43Q5ZpFZ6JuQeerFBgozEtm6vtjpUswcbbtzBb3D4+ysO+t0KWaRWeibkDjceolX6rv409sqSXDbj1WkuaEsm5sqsnn6pTO20E2UC2qWTRHZDHwDiAOeVtXHpzyeCPwAuBHoAv5IVZtEpALfEosn/bvuU9WPhaZ0Ew4mZ27811fPkBwfR0Kc6/I2Exkm/7+uXp5JbVMPn/7JG9y8Itdm34xSszbJRCQOeBJ4N7AO+KCIrJuy20eBHlVdBXwd+ErAYw2qut7/xwI/CjV1DnLq4gB3rs4nKT7O6XLMPFUVpFGem8Lek+2MT1hrP1oF8z18I1Cvqo2qOgbsALZO2Wcr8H3/7Z8C7xI7kxcTVJXnjl8kLdHNzStsmGYkExHuWVdI34iHGpuILWoFE/rFQODZnVb/tmn3UVWfXFdwAAAK4ElEQVQP0AtMJkCliLwuIi+IyO0LrNeEmYaOQc50DnLXmnzry48CK/LSWJWfxgsn220kT5QK5rd0uha7BrnPeaBMVTcAnwK2i0jG215AZJuI1IlIXUeHLdgcKSa8yn+9eZ7M5HhuqrApF6LFPesKGRyb4NsvNDhdilkEwYR+K1AacL8EaJtpHxFxA5lAt6qOqmoXgKoeABqA1VNfQFWfUtVqVa3Oz8+f+7swjthR20Jb7wibrymyidWiSGlOCteXZPKdFxtp6bIlLqNNML+ptUCViFSKSALwILBryj67gIf9tx8AfqOqKiL5/hPBiMgKoApoDE3pxkmXhsb4hz0nqcxL5TqbPjnqbL5mGW6X8HfPHHO6FBNis4a+v4/+EWAPvuGXO1X1qIg8JiJb/Lt9F8gVkXp83Tif9W+/AzgsIm/gO8H7MVW1M0RR4InnTtE7PM57rltmV99GoczkeB555yqePXaRF09Zl2s0EdWp3fPOqq6u1rq6OqfLMFdwsKWHB771Kh+6uZyrit52isZEifffWMx9X38RBX79ydtJSQjqsh7jEBE5oKrVs+1nHbFmTkbGJ/j0T95gWWYyf3PfGqfLMYso0R3H4++/juauIb7y6xNOl2NCxD66TdC217TwzOE2GjsG+chtlfznG7bMXjSbvFL31pW5fP+1ZtxxLlbmp9mVuhHOWvomaI0dA7za0MWmyhxWFaQ5XY5ZIveuKyI3NYGfHWxleMwWUY90FvomKBf7RthRe5bctAQ2X1PkdDlmCSW4XfxhdSl9w+P85MBZvN7wOg9o5sZC38xqzOPlL398kDGPlz/eVE6i2+bXiTWlOSncf+0yTlzo58nf1jtdjlkAC31zRarKl351jAPNPbzvhmIKM5KcLsk45OYVuawvzeKJ50/x2xPtTpdj5slC31zRP+1t4If7mvmLO1ZwXUmW0+UYB4kI711fzLplGfzljw9ysKXH6ZLMPFjomxn92/4WvrbnJO9dv5zPbL7K6XJMGEhwu/jXP91IQUYiH/nXWk5f7He6JDNHFvpmWjvrzvLoL45w15p8vvaB63G57Kpb45OfnsgPP7KJ+DgXf/x0Dacs+COKXZFr3uYvf3SA3W9eYFVBGh/aVG5TJptpXewb4XuvnMEzoXz41go+8277NugkuyLXzJlnwsuXnznG7jcvcE1xJn9yswW+mVlhRhJ/ccdKkhPi+O7LZ3j26AWnSzJBsN9oA0BH/ygf+m4N//zSGW5ekcuDN5XitumSzSxyUhPYdscK8tMT2fbDA3xtzwkmbBx/WLNpGAzPHbvIo784Qt/IOE/84fWMjNv6qCZ4GUnxbLtjhX8MfwO1TT185f3XUZmX6nRpZhrWlIth7X0j/NW/vc6f/6COnNQEfv4/buN9N5Q4XZaJQPFxLv7+fdfyfz9wPcfP97H5H1/kOy80MOaxBkS4sRO5Mah/ZJynXmzk2y804PXC712Vzx2r83G7rA1gFq5veJxfvtHG8fN9ZKfE87dbruYPrltuI8AWWbAnci30Y0jbpWG+/2oT2/e30D/i4driTO5dV0huWqLTpZkoo6qcbh9gz9ELnO8dYUV+Kh99RyXv21BCcoJN47EYLPQNAIOjHp4/fpGfHzzHS6c7EBE2X1PEx+5YyZFzvU6XZ6KcV5WM5HiefqmRw629pCe5uf/aZbx3QzE3VeQQZ63/kAlp6IvIZuAbQBzwtKo+PuXxROAHwI1AF/BHqtrkf+xzwEeBCeATqrrnSq9lob8wngkvx873sf9MN3tPdrD/TDdjE16ykuNZX5rFTZU5ZKckOF2miTGqSlPXEHVN3Rxt62Nswkt2Sjx3rs7nHVX5bKzIoTQn2ZbeXIBgQ3/W0Tv+hc2fBO4BWoFaEdmlqoErJn8U6FHVVSLyIPAV4I9EZB2+hdSvBpYDz4vIalW1SbkXaHzCy4XeERo6Bjh9cYBTF/s51T7AqQv9DI/7/nlX5qfy8K3lgFCem4LLfqGMQ0SEyrxUKvNS2erxcuJCH2MeL3tPdfAfh9oAyEtLZE1RGlUF6awuTKeqMI3KvFRyUhLsfEAIBTNkcyNQr6qNACKyA9gKBIb+VuBv/bd/CnxTfB/ZW4EdqjoKnPEvnL4ReC005S8eVWXyS5D67//u9uT23+2Df7uiAbcDnmvythdGJyYY83h9fya8v7vt8TLq/zM87qFv2EPf8Dj9ox56h8bpHBjlQt8IF/tG6Rocfctr56UlkpHsZkNZFmU5KZTnppKZHL9Y/zzGzFuC23V58r4byrNp7x+luWuQs93DNHcN8XrLJYYCFmuJjxMK0pMozEikKDOJ7JQE0pLcpCe6SUt0k5YUT1qim/QkN0nxccTHCfFxLuLjBLfLRbzbRbxLcPu3xce5EAFB/H/7PpR8fxP13zaCCf1i4GzA/VZg00z7qKpHRHqBXP/2fVOOLZ53tVfQPTjGO77ymxmDl2ACObxOb1wWHyckueNIS3KTkRRPRW4K15VkkpkUT156IoXpiaQk2iUXJvK4RCjKSKIoI4lNlb5tXlV6h8a52D9C9+AYfcMe+kfGuTQ8Tkv3MMNjHkY9XjyLfBHYtB8I+DYG3g/lZ8R1JZns2HZL6J5wGsEkxXRvaeq/9kz7BHMsIrIN2Oa/OyAiJ4OoK5LkAZ1OF7EEYuF92nuMDmH5Ho8D//4X8z68PJidggn9VqA04H4J0DbDPq0i4gYyge4gj0VVnwKeCqbgSCQidcGcYIl0sfA+7T1Gh1h4jzMJ5mqcWqBKRCpFJAHfidldU/bZBTzsv/0A8Bv1dYLvAh4UkUQRqQSqgP2hKd0YY8xczdrS9/fRPwLswTdk83uqelREHgPqVHUX8F3gh/4Ttd34Phjw77cT30lfD/BxG7ljjDHOCbuLs6KRiGzzd2FFtVh4n/Yeo0MsvMeZWOgbY0wMsRm2jDEmhljoLzER+bSIqIjkOV1LqInI10TkhIgcFpFfiEiW0zWFiohsFpGTIlIvIp91up7FICKlIvJbETkuIkdF5JNO17RYRCRORF4XkV85XctSs9BfQiJSim86ixana1kkzwHXqOp1wCngcw7XExIBU5G8G1gHfNA/xUi08QD/U1XXAjcDH4/S9wnwSXzD4mOOhf7S+jrwv5jmArVooKrPqqrHf3cfvusyosHlqUhUdQyYnIokqqjqeVU96L/djy8UF+UKeieJSAlwP/C007U4wUJ/iYjIFuCcqr7hdC1L5CPAr50uIkSmm4ok6sIwkIhUABuAGmcrWRT/iK/xFZPLetmELSEkIs8DRdM89Cjwv4F7l7ai0LvSe1TVX/r3eRRfV8GPl7K2RRTUdCLRQkTSgJ8Bf62qfU7XE0oi8h6gXVUPiMhdTtfjBAv9EFLVu6fbLiLXApXAG/4Z/EqAgyKyUVUvLGGJCzbTe5wkIg8D7wHepdEzHjio6USigYjE4wv8H6vqz52uZxHcBmwRkd8HkoAMEfmRqn7I4bqWjI3Td4CINAHVqhp2Ez4thH+xnSeAO1W1w+l6QsU/n9Qp4F3AOXxTkzykqkcdLSzE/NOhfx/oVtW/drqexeZv6X9aVd/jdC1Lyfr0TSh9E0gHnhORQyLybacLCgX/yenJqUiOAzujLfD9bgP+O/BO///fIX+L2EQRa+kbY0wMsZa+McbEEAt9Y4yJIRb6xhgTQyz0jTEmhljoG2NMDLHQN8aYGGKhb4wxMcRC3xhjYsj/BxKRp0yWwOyNAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(scipy.stats.norm.ppf(ECDF(xs)(xs_new)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xs = np.concatenate(all_features)[:, 38]\n",
    "xs_new = xs + 0.000001 * np.sign(np.median(xs) - xs)\n",
    "ecdf = ECDF(xs)\n",
    "np.isfinite(scipy.stats.norm.ppf(ECDF(xs)(xs_new))).all()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(feature_groups['zerocross'], fit=scipy.stats.norm)\n",
    "plt.title('Distribution of zero crossings before normalization')\n",
    "plt.xlabel('Count of zero crossings')\n",
    "plt.ylabel('Probability density')\n",
    "plt.savefig('zerocross-before.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(\n",
    "    scipy.stats.norm.ppf(\n",
    "        ECDF(feature_groups['zerocross'])(0.999999 * feature_groups['zerocross'])\n",
    "    ), fit=scipy.stats.norm)\n",
    "plt.title('Distribution of zero crossings after normalization')\n",
    "plt.xlabel('Normalized count of zero crossings')\n",
    "plt.ylabel('Probability density')\n",
    "plt.savefig('zerocross-after.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
